Dynamic representation of the Weyl solution for the Schr\"odinger operator on the semi-axis
Analysis of PDEs
2026-01-14 v1
Abstract
We derive a representation formula for the Weyl solution to the Schr\"odinger operator on the semi-axis for certain classes of potentials. Our approach is based on relations with the initial-boundary value problem for the wave equation with the same potential on the half-line.
Cite
@article{arxiv.2601.08575,
title = {Dynamic representation of the Weyl solution for the Schr\"odinger operator on the semi-axis},
author = {A. S. Mikhaylov and V. S. Mikhaylov},
journal= {arXiv preprint arXiv:2601.08575},
year = {2026}
}